920075563008 has 1040 divisors, whose sum is σ = 3425279616000. Its totient is φ = 240120889344.

The previous prime is 920075562971. The next prime is 920075563039. The reversal of 920075563008 is 800365570029.

It is a happy number.

920075563008 is a `hidden beast` number, since 9 + 2 + 0 + 0 + 7 + 5 + 5 + 630 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1279659673 + ... + 1279660391.

Almost surely, 2^920075563008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920075563008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712639808000).

920075563008 is an abundant number, since it is smaller than the sum of its proper divisors (2505204052992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

920075563008 is a wasteful number, since it uses less digits than its factorization.

920075563008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 920075563008 in words is "nine hundred twenty billion, seventy-five million, five hundred sixty-three thousand, eight".